Least Common Multiple of 81/84, 789/94, 273/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/84, 789/94, 273/968 quickly i.e. 1938573/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/84, 789/94, 273/968 is 1938573/2.

LCM(81/84, 789/94, 273/968) = 1938573/2

LCM of 81/84, 789/94, 273/968

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 81/84,789/94,273/968

Given numbers are 81/84,789/94,273/968

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 81,789,273

Least Common Multiple of Numerators i.e. LCM of 81,789,273 is 1938573.

GCF of Denominators means GCF of 84,94,968 as per the given fractions.

GCF of 84,94,968 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,789,273

LCM of Fractions 81/84,789/94,273/968 is 1938573/2

3 81, 789, 273
27, 263, 91

∴ So the LCM of the given numbers is 3 x 27 x 263 x 91 = 1938573

Least Common Multiple of 81,789,273 with GCF Formula

Least Common Multiple of 81,789,273 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 81,789,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,789,273) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(81,789,273) x common factors =3 x 3 = 9

LCM(81,789,273) = ( 81 × 789 × 273 ) / 9

LCM(81,789,273) = 17447157 / 9

LCM(81,789,273) = 1938573


Lets's calculate GCF of 84,94,968

2 84, 94, 968
42, 47, 484

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1938573/2

Therefore the LCM of Fractions 81/84,789/94,273/968 is 1938573/2

Greatest Common Factor of 84,94,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,94,968 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 84,94,968 . The biggest common factor number is the GCF number.
So the greatest common factor 84,94,968 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 81/84, 789/94, 273/968

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 81/84, 789/94, 273/968?

Answer: LCM of Numerators as per given numbers 81/84, 789/94, 273/968 is

LCM of Numerators i.e. for 81,789,273 is 1938573

GCF of denominators i.e. for 84,94,968 is 2.

Thus, LCM of Fractions is 1938573/2.Finally, LCM of Fractions for 81/84, 789/94, 273/968 is 1938573/2.